Open AccessStability behaviour of mathematical model MERS corona virus spread in population
Author(s) -
Muhammad Tahir,
Syed Shah Inayat,
Gul Zaman,
Tahir Khan
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1912947t
Subject(s) - lyapunov function , stability (learning theory) , mathematics , basic reproduction number , epidemic model , population , mathematical economics , computer science , nonlinear system , demography , physics , quantum mechanics , machine learning , sociology
In this subsection, we first formulated the proposed model in there infectious classes and then we derived the basic key value reproductive number, R0 with the help of next generation approach. Then we obtained all the endemic equilibrium points, as well as, local stability analysis, at disease free equilibria and, at endemic equilibria of the related model and shown stable. Further the global stability analysis either, at disease free equilibria, and at endemic equilibria is discussed by constructing Lyapunov function which show the validity of the concern model exist. In the last part of the article numerical simulation is presented for the model which support the model existence with the help of RK-4 method.